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How much work is done in moving a charge of 5 c across to a point having a p.d. 2ov?

Ask by Wood Nichols. in Nepal
Jan 23,2025

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Answer

The work done is 10 joules.

Solution

To calculate the work done in moving a charge across a potential difference (p.d.), we can use the formula: \[ W = Q \cdot V \] where: - \( W \) is the work done (in joules), - \( Q \) is the charge (in coulombs), - \( V \) is the potential difference (in volts). Given: - \( Q = 5 \, \text{C} \) - \( V = 2 \, \text{V} \) Now, we can substitute the values into the formula: \[ W = 5 \, \text{C} \cdot 2 \, \text{V} \] Calculating this gives: \[ W = 10 \, \text{J} \] Thus, the work done in moving the charge is \( 10 \, \text{J} \).

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The Deep Dive

To find the work done in moving a charge across a potential difference (p.d.), you can use the formula: Work (W) = Charge (Q) × Potential Difference (V). In this case, the charge (Q) is 5 coulombs and the potential difference (V) is 2 volts. So, W = 5 C × 2 V = 10 joules. That's the energy required to move that charge through the electric field! Now, it’s interesting to note that moving charges and their associated work forms the foundation of electrical circuits. This principle is at work in everything from powering your smartphone to running large industrial machines, as electric current is essentially the flow of charged particles. Understanding these concepts can help you appreciate the technology that surrounds us every day!

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